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List of symbols


$\mathbf{r,x,a,b,c,a}_i$ vectors
$x,\,y,\,z,\,x_i,\,r_i,\,w_i$ point coordinates, vector coefficients, or coefficients of the translation part of a mapping
$\mbox{\textit{\textbf{x,\,r,\,w}}}$ column of point coordinates, of vector coefficients, or of the translation part of a mapping
$\tilde{X},\tilde{\mbox{\textit{\textbf{x}}}},\tilde{x}_i$ image point, its column of coordinates, and its coordinates
x$'$, x$'_i$ column of coordinates and coordinates in a new coordinate system
A, I, W mappings
$\mbox{\textit{\textbf{A,W,\,I}}}$ $(3\times 3)$ matrices
$A_{ik}, B_{ik}, W_{ik}$ matrix coefficients
(A,a), (W,w) matrix-column pairs
$(\mathbf{a})^{^{\mbox{\footnotesize {T}}}}$ row of basis vectors
$(\mbox{\textit{\textbf{a}}})^{^{\mbox{\footnotesize {T}}}},\,(\mbox{\textit{\te...
...ootnotesize {T}}}},\,(\mbox{\textit{\textbf{r}}})^{^{\mbox{\footnotesize {T}}}}$ row of vector coefficients
A $^{^{\mbox{\footnotesize {T}}}}$ transposed matrix
G, G$_{ik}$ fundamental matrix and its coefficients
$a,\,b,\,c$ lattice constants
$\alpha,\beta,\gamma$ or $\alpha_j$ angles between the basis vectors
$\Phi$ angle between two vectors (bond angle)
det$(\ldots)$ determinant of a matrix
$\mathcal{G}$, $\mathcal{H}$, $\mathcal{I}$, $\mathcal{P}$, $\mathcal{R}$, $\mathcal{S}$ groups
$\mos{W}$, $\mos{x}$, $\tilde{\mbox{$\mos{x}$}}$, $\mos{r}$, $\mos{t}$ augmented matrix and columns


The International Tables for Crystallography, Vol. A (1983), 4th edition (1995), will be abbreviated `IT A'.







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